Thirteen limit cycles for a class of Hamiltonian systems under seven-order perturbed terms

Gheorghe Tigan

Chaos, Solitons & Fractals, 2007, vol. 31, issue 2, 480-488

Abstract: In this paper we study the existence, number and distribution of limit cycles of the perturbed Hamiltonian system:x′=4y(abx2-by2+1)+εxuxn+vyn-bβ+1μ+1xμyβ-ux2-λy′=4x(ax2-aby2-1)+εy(uxn+vyn+bxμyβ-vy2-λ)where μ+β=n, 0Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:2:p:480-488

DOI: 10.1016/j.chaos.2005.10.014

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